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THREE:Until the beginning of the nineteenth century the state of mathematical science was very low in England. The commencement of a better era originated with Woodhouse at Cambridge and Playfair in Edinburgh, by both of whom the Continental methods were introduced into the studies of their respective Universities. About 1820 the translation of La Croix's "Differential Calculus," superintended by Sir John Herschel and Dean Peacock, came into use as a text-book. Soon afterwards the writings of Laplace and Poisson were generally read in the Universities; and a few men of active and daring minds, chiefly of the Cambridge school, such as Professor Airy and Sir John Lubbock, grappled with the outstanding difficulties of physical astronomy; whilst a larger number applied themselves to the most difficult parts of pure analysis, and acquired great dexterity in its use, in the solution of geometrical and mechanical problems.

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THREE:

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THREE:Lord Durham at once resigned, and was succeeded by Mr. Poulett Thomson, afterwards Lord[448] Sydenham, who fully adopted his policy, which was ably expounded in an important report from the pen of Mr. Charles Buller, with additions by Gibbon Wakefield. It was characterised by profound statesmanship, and was the basis of the sound policy which has made united Canada a great and flourishing State. Meanwhile, the returned prisoners from Bermuda showed their sense of the leniency with which they had been treated by immediately reorganising the rebellion. Sir John Colborne, the commander-in-chief, who had, on Lord Durham's departure, assumed provisionally the government of the colonies, thereupon proclaimed martial law, and stamped out the insurrection. Only twelve of the principal offenders were ultimately brought to trial, of whom ten were sentenced to death, but only four were executed. The persons convicted of treason, or political felony, in Upper Canada, from the 1st of October, 1837, to the 1st of November, 1838, were disposed of as follows:��pardoned on giving security, 140; sentenced to confinement in penitentiary, 14; sentenced to banishment, 18; transported to Van Diemen's Land, 27; escaped from Fort Henry, 12. The American prisoners had been sent to Kingston, and tried by court-martial on the 24th of November. Four of them were sentenced to death, and executed, complaining of the deception that had been practised on them with regard to the strength of the anti-British party, and the prospects of the enterprise. Five others were afterwards found guilty and executed. The American Government, though deprecating those executions on grounds of humanity, disclaimed all sanction or encouragement of such piratical invasions, and denied any desire on its part for the annexation of Canada.

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THREE:On the 15th of April a message was sent down to both Houses from the king, in conformity with his pledge to the new Ministry, with regard to Mr. Burke's plan of economical reform, which it proposed should be a measure of effectual retrenchment, and to include his Majesty's own Civil List. Lord Shelburne, in communicating it to the Lords, assured the House that this was no mere ministerial message, but was the genuine language of the king himself, proceeding from the heart. Burke, in the Commons, used more exuberant terms of eulogy, declaring that "it was the best of messages to the best of people from the best of kings!" Early in May he moved for leave to bring in his Bill on the subject, and then most of the promised wonders of reform and retrenchment vanished. The duchies of Cornwall and Lancaster and the principality of Wales were at once cut out of his scheme of reform. The plan of supplying the Royal Household by contract was abandoned; the Ordnance Office, in the hands of the Duke of Richmond, was not to be touched, nor the Treasurer of the Household's office; and some[291] other of the royal establishments, which were mere sinecures, were left. But he succeeded in lopping off the third Secretaryship of State, which had been created for the American colonies, and was useless now they were gone; the Lords of Trade and Plantations; the Lords of Police in Scotland; the principal officers of the Great Wardrobe, Jewel Office, Treasurer of the Chamber, Cofferer of the Household, six Clerks of the Board of Green Cloth��in all, about a dozen offices were swept away. The Pension List was vigorously revised. No pension was to exceed three hundred pounds a year, and not more than six hundred pounds was to be granted in pensions in any one year; the names of the persons to whom they were granted were to be laid before Parliament within twenty days after the beginning of each session, until the amount in the Pension List should reach ninety thousand pounds. The Secret Service money was, at the same time, limited; and a solemn oath was to be administered to the Secretaries of State regarding its proper employment. It may be imagined what were the consternation and the disgust of the large class which had been revelling on these misappropriated funds of the nation. Burke, in a letter, describes feelingly the gauntlet he had to run in proceeding with his reform. "I was loaded," he says, "with hatred for everything withheld, and with obloquy for everything given." What, however, brought unjust odium on him, but just reproach on the Cabinet, was, that Lord Rockingham made haste, before the Bill was passed, to grant enormous pensions to his supporters and colleagues, Lord Ashburton and Colonel Barr��. The latter ardent patriot, who, whilst Burke's Bill was in consideration, said it did not go far enough in reform, now willingly pocketed three thousand two hundred pounds a year, as a pension, besides the salary of his office. In the House of Lords, Thurlow again attacked the Bill, supported by Lords Mansfield and Loughborough; but it passed, and Burke immediately gave an illustrious proof of his disinterestedness, by bringing in a Bill for regulating and reducing the enormous emoluments of his own office, the Paymastership of the Forces.On the 14th of July, when Barclay de Tolly was close pressed by Napoleon, he learned that though Bagration had been repulsed at Mohilev, he was now advancing on Smolensk; he therefore himself again retreated before the French towards Vitebsk. At that town he had a partial engagement with the French; but he quitted it in good order. Here Murat and most of the other general officers entreated Napoleon to close the campaign for this year; but he refused. The soldiers were dispirited by this continual pursuit without result; Murat himself was heartily sick of endeavouring to get a dash at the enemy and being as constantly foiled; King Jerome had been disgraced and sent back to his Westphalian dominions, on the charge of having let Bagration escape by want of sufficient energy; and Wittgenstein had, to the great disgust of Napoleon, on the 2nd of July, crossed the river, surprised Sebastiani's vanguard of cavalry in Drissa, and completely routed them. These things had embittered Buonaparte; and if he ever intended to encamp for the winter at Vitebsk, he now abandoned the idea with indignation. It was still midsummer; the enemy had so far eluded him; he had not been able to strike one of his usual great blows and send terror before him. He was impatient of a pause. "Surrounded," says S��gur, "by disapproving countenances, and opinions contrary to his own, he was moody and irritable. All the officers of his household opposed him, some with arguments, some with entreaties, some��as Berthier��even with tears; but he exclaimed, 'Did they think he was come so far only to conquer a parcel of wretched huts? that he had enriched his generals too much; that all to which they now aspired was to follow the pleasures of the chase, and to display their splendid equipages in Paris. We must,' he said, 'advance upon Moscow, and strike a blow, in order to obtain peace, or winter-quarters and supplies.'"

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